2500508160 has 120 divisors (see below), whose sum is σ = 8660042820. Its totient is φ = 666796032.

The previous prime is 2500508159. The next prime is 2500508161. The reversal of 2500508160 is 618050052.

It is an interprime number because it is at equal distance from previous prime (2500508159) and next prime (2500508161).

It can be written as a sum of positive squares in 2 ways, for example, as 2401784064 + 98724096 = 49008^2 + 9936^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2500508161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31225 + ... + 77304.

Almost surely, 2^2500508160 is an apocalyptic number.

2500508160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2500508160 is an abundant number, since it is smaller than the sum of its proper divisors (6159534660).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2500508160 is a wasteful number, since it uses less digits than its factorization.

2500508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108558 (or 108539 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2500508160 is about 50005.0813417997. The cubic root of 2500508160 is about 1357.3007592980.

The spelling of 2500508160 in words is "two billion, five hundred million, five hundred eight thousand, one hundred sixty".